In reply to FesteringSore:
Over-inflation can be more of a problem for modern low and wide profiles because it is then difficult for the tyre to maintain contact with the road surface across the full width of the tyre during the full range of suspension movements. Parts of the tyre will experience more wear as a result.
If the tyre is at the top limit of the pressure for the current load then you might expect the tyre to generate less rolling resistance and thus improve fuel consumption. However, the best of modern tyres work well across a wider range.
Lower tyre pressures can be expected to use more fuel. There may also be excessive wear but on different parts of the tyre. The tyre will generate more heat as it undergoes greater deformations when rotating and this also increases tread wear and can damage the structure. In extreme cases of a heavily laden car with low tyre pressures on a hot day undergoing heavy cornering, parts of the tread will be close to melting and wear very badly.
If some tyres are low and some are high then expect the car's handling to change. This is more likely to be a bad change than a good change.
An important time to check tyre pressures is when the weather changes. During a very cold spell, the air will contract and the pressures will drop. Likewise, during a heatwave it will expand and the pressures will rise.
Recommended tyre pressures are for cool tyres that have not been in direct sunlight or been heated by driving. That's why you need your own tyre pressure gauge so that you can chose to check them at an appropriate time.
So what do you do if you are driving down the motorway 250 miles from home and you think the tyre pressures might not be right. Well, they'll be higher than the recommended value after all that high speed use but they should be very close to the same on both sides. If any of the pressures are lower than the recommended value after motorway use then there's a problem.
If your car has a different tyre size from the maker's recommended size then if it has a larger volume it needs less pressure to support the same weight. Only a little bit: maybe 0.2 bar or 2 to 3 psi. Remember than wider tyres with very low profiles on bigger rims may not actually have a larger volume!
Post edited at 00:58